\[\boxed{\mathbf{389}\mathbf{.}}\]
\[1)\ \log_{3}x = \frac{3}{x}\]
\[y = \log_{3}x - логарифмическая\ \]
\[функция:\]
\[x\] | \[1\] | \[3\] | \[9\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[2\] |
\[y = \frac{3}{x} - уравнение\ гиперболы:\]
\[x \neq 0\ \ и\ \ y \neq 0\]
\[x\] | \[- 3\] | \[- 1\] | \[1\] | \[3\] |
---|---|---|---|---|
\[y\] | \[- 1\] | \[- 3\] | \[3\] | \[1\] |
\[Ответ:\ \ x = 3.\]
\[2)\ 2^{x} = \log_{\frac{1}{2}}x\]
\[y = 2^{x} - показательная\ \]
\[функция:\]
\[x\] | \[0\] | \[1\] | \[2\] | \[3\] |
---|---|---|---|---|
\[y\] | \[1\] | \[2\] | \[4\] | \[8\] |
\[y = \log_{\frac{1}{2}}x - логарифмическая\ \]
\[функция:\]
\[x\] | \[1\] | \[2\] | \[4\] | \[8\] |
---|---|---|---|---|
\[y\] | \[0\] | \[- 1\] | \[- 2\] | \[- 3\] |
\(Ответ:\ \ x \approx 0,4.\)